Question
‘E’ takes 30 days to complete a job. If ‘F’ is
50% more efficient than ‘E’, how many days will they take together to complete 75% of the work?Solution
Let the work be 100x units.
Efficiency of ‘E’ = 100x ÷ 30 = ‘10x/3’ units/day
Efficiency of ‘F’ = (10x/3) × 1.5 = ‘5x’ units/day
75% of the work = 100x × 0.75 = 75x units
Required time = 75x ÷ ((10x/3) + 5x) = 75x ÷ ((10x + 15x)/3) = 75x ÷ (25x/3) = 9 days
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